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Finding the Fourth Proportional to 4,206.38, 5,806.62 and 2,635.38

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Solution

The fourth proportional to 4,206.38, 5,806.62 and 2,635.38 is: 3,637.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206.38 : 5,806.62 = 2,635.38 : x
  2. Step 2: Convert to fraction form
    4,206.38/5,806.62 = 2,635.38/x
  3. Step 3: Cross multiply
    4,206.38x = 5,806.62 × 2,635.38
  4. Step 4: Simplify right side
    4,206.38x = 15,302,650.22
  5. Step 5: Solve for x
    x = 15,302,650.22/4,206.38
  6. Step 6: Final answer
    x = 3,637.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.